{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "# Spectral Vertex Nomination\n",
    "\n",
    "This demo shows how to use the Spectral Vertex Nomination (SVN) class. We will use SVN to nominate vertices in a Stochastic Block Model (SBM)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "# imports\n",
    "import numpy as np\n",
    "from graspologic.nominate import SpectralVertexNomination\n",
    "from graspologic.simulations import sbm\n",
    "from graspologic.plot import heatmap\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## What is Spectral Vertex Nomination?\n",
    "\n",
    "Given a graph $G=(V,E)$ and a subset of $V$ called $S$ (the \"seed\"), Single Graph Vertex Nomination is the problem of ranking all $V$ ordered by degree of relation to members of $S$.\n",
    "Spectral Vertex Nomination (SVN) solves the Vertex Nomination problem by embedding a graph's adjacency matrix into a low dimensional euclidean space, then using distance based methods to establish relationship between vertices. (See embedding tutorials)\n",
    "\n",
    "SVN has the advantage of being extremely efficient on very large graphs, and requires very little prior knowledge of a graph's properties or structure. However, it does somewhat conflate the notion of community membership with vertex similarity.\n",
    "This might not be appropriate for all vertex nomination use cases. Synthetic SBM data, with inherently defined communities, is therefore a good setting for demonstrating SVN."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# construct graph from sbm\n",
    "n_verts = 100\n",
    "p = np.array([[0.5, 0.35, 0.2],\n",
    "              [0.35, 0.6, 0.3],\n",
    "              [0.2, 0.3, 0.65]])\n",
    "labels = np.array([0] * n_verts + [1] * n_verts + [2] * n_verts)\n",
    "adj = np.array(sbm(3 * [n_verts], p), dtype=np.int)\n",
    "fig = heatmap(adj, title='3-block SBM (undirected)', inner_hier_labels=labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "There are two cases of single graph vertex nomination. In the unattributed case, the seed $S$ is simply a list of any number of vertices in the graph $G$. For each seed vertex $s \\in S$, SVN will return a list of the other vertices in order of distance to $s$.\n",
    "Any distance metric supported by sklearn's `NearestNeighbors` can be used, euclidean is default and is generally sufficient.\n",
    "\n",
    "The `n_neighbors` argument can be used to specify how many vertices should be nominated for each seed, otherwise all vertices will be ranked for each seed. Setting `n_neighbors` will improve runtime on large graphs and might also improve prediction accuracy in some cases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SpectralVertexNomination(n_neighbors=5)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# instantiate a default SVN\n",
    "svn = SpectralVertexNomination(n_neighbors=5)\n",
    "# fit to the adjacency matrix\n",
    "svn.fit(X=adj)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "The predict method takes a numpy array of seed vertex indices as an argument. It generates the nomination list, and returns a tuple of the nomination list itself and the associated distance matrix.\n",
    "\n",
    "Here, we select a seed of 5 random vertices, and the top 5 vertices nominated for each seed are plotted along the first two dimensions of the embedded space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yTZe+m65bk/yv4cv7UelrN/9oL+U+lI5Nfyzcmf6S7tb0n98k+Z0kTxwuK//RlMv9cPpL2LeMvK70n+M5L0jfRvL29MfIL3ULd+F38bzj+itTlmnU3yQ5I/3n7LIkF3Rdt3UY96+THJ7kU+m3y9Xpr6Yk/bb6QPra84+nv6ow6kDmHef9wzF4S/qrU2/Mwesma+JncR/8iySfHD7jv5W+Lez2MdNNu4/nHJHk19Pvny+m/7HxC/tYNpaJ2rNpD+xd9V0Uvbubot9IWEqGWpu/T39Tysz/UUFV/UaSz3Vd95ZZlwVgqfNPCoAVp+u6HelrOpeErut+btZlAGiFZgMAADRDswEAAJqh5hUAgGYIrwAANGOqG7ZOOOGEbt26dYtUFAAASK6//vqvDP+N8SGmCq/r1q3Lddddd3BKBQAAY1TVxH+TrNkAAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgFgqdqwIVm3Llm1qv+7YcOsSwQzt3rWBQAAxtiwIbnoouSee/rXmzf3r5Nk/frZlQtmTM0rAMzauBrWSy/dHVzn3HNPPxxWMDWvALCIbr344my6+upsT3JUkjMvuCCnvP71uyeYVMM6P7jOufnmxS4yLGnCKwAsklsvvjifeO9788Cq/kLn9iSfeO97k2R3gJ1Uw3rYYckDDzx0oaeeuoglhqVPswEAWCSbrr76weA654FVq7Lp6qt3D9i8efzMDzyQHH30nsOOPjq57LKDXEpoi/AKAItk+96Gb9iQVI2f6LTTkiuv7P9W7X7tZi1WOM0GAGCRHJXxAfaouSeXXpp03UMnqOprWNevF1ZhHjWvALRtCfeFeuYFF+SwXbv2GHbYrl0584IL+heTbr7qOqEVJlDzCkC7lnhfqHM3Ze3R28Dzn7/7Zq1TTx3f5vW00w5ZGaE11Y27XDHBWWed1V133XWLWBwAmMK6dZPD3003HerSTG9++E76m7K0bWWFq6rru647a9w4zQYAaNeky+6t9IW6fr2bsmBKmg0A0K5Jl91b6gvVTVkwFTWvALTrssv0hQorjPAKQLtcdocVR7MBANrmsjusKGpeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwCAwYYk69IHpHXDa5aW1bMuAADAUrAhyUVJ7hlebx5eJ8n6mZSIcdS8AgAkuTS7g+uce4bhLB3CKwBAkpunHM5sCK8AAElOnXL4craU2/4KrwAASS5LcvS8YUcPw+d72YZPZfW6K1Or3pDV667MyzZ8avELeIjMtf3dnKTL7ra/SyXACq8AAOlvyroyyWlJavh7ZR56s9bLNnwqb73og3lg891Jlzyw+e689aIPLqkAeyA1p0u97W91XbfPE5911lndddddt4jFAQBY2lavu7IPrvMcdtqx2XnTRWPmOLTm95qQ9DXI44L4OKvS17jOV0l2HXDp9k1VXd913Vnjxql5BQCYwgM3PzS4LjT8UDvQmtOl3vZXeAUAmMJhpx471fBD7UB7TZim7e8sCK8AAFO46LJzk6Pn/Z+no1f3w5eAA6053de2v7MivAIATOEt65+Yl175rBx22rFJ9W1dX3rls/KW9U+cddGSHJya0/VJbkrfxvWmLJ3gmrhhCwBg2dmQvo3rzelrXC/L0gqge+OGLQCAfbCUO+efxlKuOT1Qq/c+CQDA8je/i6m5zvmT5RX+WqfmFQAgS79zfnrCKwBADryLKQ4N4RUAIEu/c356wisAQJZ+5/z0hFcAgCz9zvnp6W0AAGCwPsLqUqfmFQCAZgivAAA0Q3gFAKAZwisAAM0QXgEAaIbwCgBAM4RXAACaIbwCANAM4RUAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJqxetYFYB9s2Zp84bZkx33JEYcnp5+cnHT8rEsFAHDICa9LybiQmiSf2Zzs2tU/33Ff/zoRYAGAFUd4XSq1mlu2jg+pq2r3sDm7dvVlFl4BgBVmZYfXSYExOfTB8Au3jQ+pu8ZPnh33LXqRAACWmpV9w9akwPiF2w59WaYNo0ccvjjlAABYwlZ2zeukwDiLWs0jDh+/3sMOyw0fuDnXvOPTuetL23PcI4/K+Rc+IU/+mXMPfRkBAGZsZde8Tqq9nEWt5uknJ6vm7Y5Vq3LD39yZ919xQ+7asj3pkru2bM/7r7ghN/zhpw99GQEAZmxlh9cJgfHBu/wPpZOOTx5/2u7gfMThyeNPyzVvuC7373hgj0nv3/FArnntRw59GQEAZmxlNxuYuylrKfQ2MFeeeeu+a8v2sZNOGg4AsJyt7PCajA2MS8lxJx2Vu7740KB63ElHzaA0AACztbKbDTTg/FedmzVHHLbHsDVHHJbzX+WGLQBg5VHzusQ9+WXnJEmuee1HcteW7TnupKNy/qvOfXA4AMBKIrw24MkvO0dYBQCIZgMAADREzetysmXr0uk5AQBgEQivy8WWrclnNu/+d7c77utfJwIsALBsaDawXHzhtt3Bdc6uXf1wAIBlQnhdLnbcN91wAIAGCa/Lxdy/ld3X4QAADRJel4vTT05Wzdudq1b1wwEAlgk3bC0Xczdl6W0AAFjGhNfl5KTjhVUAYFnTbAAAgGYIrwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZizt8HrXhuSz65JNq/q/d21YHusCAGC/rJ51ASa6a0PyxYuS7p7+9c7N/eskOW59u+sCAGC/Ld2a1y9fujtMzunu6Ye3vK7WqJEGAJaQpVvzuvPm6Ya3sq6WqJEGAJaYpVvzuvrU6Ya3sq6WqJEGAJaYpRteT7wsqaP3HFZH98NbXldL1EgDAEvM0g2vx61PvvnKZPVpSar/+81XLs7l6kO5rpaokQYAlpil2+Y16cPjoQqQh3JdrTjxsj3bvCZqpAGAmVq6Na/MnhppAGCJWdo1r8yeGmkAYAlR8zot/Z4CAMyMmtdp6PcUAGCmhNdpTOj39M4b354tWz+T+3euzZrV23LSY0/Jw8+4cDZlBABYxjQbmMaY/k3v3Padue1LP5D7dx6bpHL/zmNz241fyZ03vuPQlw8AYJkTXqcxpn/TLV/9gXTd4XsM67rDs+Xztx6qUgEArBjC6zTG/Ceu+3c+fOyk9+9ceyhKBACwomjzOo25m7K+fGnfhGD1qVmz+u7cv/O4h0y6ZvW2Q1w4YCXbtGNTNt67Mdt2bcvaVWtzzpHn5Mwjzpx1sQAOOjWv0zpuffK4m5IzdyWPuyknPfYxqbpvj0mq7stJjz1lNuUDVpxNOzblmnuuybZd/Y/mbbu25Zp7rsmmHZtmXDKAg094PUAPP+PCnHzGCVmz+u4kXdasvjsnn3GC3gaAQ2bjvRuzMzv3GLYzO7Px3o0zKhHA4tFs4CB4+BkX5uFnzLoUwEo1V+O6r8MBWqbmFaBxa1eNv0F00nCAlgmvAI0758hzsnrehbTVWZ1zjjxnRiUCWDyaDQA0bq5XAb0NACuB8AqwDJx5xJnCKrAiCK8APIR+Y4GlSngFYA9z/cbOdb81129sEgEWmDk3bAGwB/3GAkuZ8ArAHvQbCyxlwisAe9BvLLCUCa8A7EG/scBSJrwCsIczjzgz5x99/oM1rWtXrc35R5+/om/WuuLjV+SEN56Q+uXKCW88IVd8/IpZFwlWLL0NAPAQ+o3d7YqPX5FL/+zS3L/z/iTJ1m1bc+mfXZokecV3vWKWRYMVSc0rACzg8msvfzC4zrl/5/25/NrLZ1QiWNmEVwBYwNZtW6caDiwu4RUAFnD82uOnGg4sLuEVABZwyXmXZM3qNXsMW7N6TS4575IZlQhWNjdsAcAC5m7Kuvzay7N129Ycv/b4XHLeJW7Wghmpruv2eeKzzjqru+666xaxOABL36Ydm7Lx3o3Ztmtb1q5am3OOPMed+QAHUVVd33XdWePGqXkFmMKmHZtyzT3XZGd2Jun/Zeo191yTJAIswCGgzSvAFDbeu/HB4DpnZ3Zm470bZ1QigJVFzSvAFLbt2jbV8OVM8wlgFtS8Akxh7l+m7uvw5Wqu+cRcaJ9rPrFpx6YZlwxY7oRXgCmcc+Q5WT3votXqrM45R54zoxLNhuYTwKxoNgAwhbnL4iv9crnmE8CsCK8AUzrziDNXXFidb+2qtWOD6kprPgEcepoNADA1zSeAWVHzCsDUNJ8AZkV4BWC/aD4BzIJmAwAANEN4BQCgGcIrAADNEF4BAGiG8AoAQDOEVwAAmiG8AgDQDOEVAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZgivAAA0o7qu2/eJq76cZPPiFQcAAHJa13UnjhsxVXgFAIBZ0mwAAIBmCK8AADRDeAUAoBnCKwAAzRBeAQBohvAKAEAzhFcAAJohvAIA0AzhFQCAZvx/IdSGJ3Y1thkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 864x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define the seed as a random sample of 5 vertices from V.\n",
    "seed = np.random.choice(3 * n_verts, size=5, replace=False).astype(np.int)\n",
    "nomination_matrix, distance_matrix = svn.predict(seed)\n",
    "\n",
    "color = ['red', 'lightgreen', 'gold', 'cyan', 'pink']\n",
    "seed_color = ['firebrick', 'green', 'tan', 'darkblue', 'purple']\n",
    "plt.figure(figsize=(12, 9))\n",
    "for i in range(nomination_matrix.shape[1]):\n",
    "    plt.scatter(svn.embedding_[nomination_matrix[:, i], 0],\n",
    "                svn.embedding_[nomination_matrix[:, i], 1],\n",
    "                c=color[i])\n",
    "    plt.scatter(svn.embedding_[seed[i], 0],\n",
    "            svn.embedding_[seed[i], 1],\n",
    "            c=seed_color[i])\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])\n",
    "    plt.title('Top 5 Nominees For Each Seed (black) in First Two Embeded Dimensions')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "The attributed case is not currently handled by Graspologic, and may be added in the future."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
